GCD of 908, 706, 145, 875 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 908, 706, 145, 875 i.e. 1 largest integer that divides all the numbers equally.

GCD of 908, 706, 145, 875 is 1

GCD(908, 706, 145, 875) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 908, 706, 145, 875 is 1

GCD(908, 706, 145, 875) = 1

GCD of 908,706,145,875 Calculator

GCDof 908,706,145,875 is 1

Given Input numbers are 908, 706, 145, 875

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Greatest Common Divisior

We found the divisors of 908, 706, 145, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 706, 145, 875 is 1.

Therefore, GCD of numbers 908, 706, 145, 875 is 1

Finding GCD of 908, 706, 145, 875 using Prime Factorization

Given Input Data is 908, 706, 145, 875

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 706 is 2 x 353

Prime Factorization of 145 is 5 x 29

Prime Factorization of 875 is 5 x 5 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 908, 706, 145, 875 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(908, 706) = 320524

GCD(908, 706) = ( 908 x 706 ) / 320524

GCD(908, 706) = 641048 / 320524

GCD(908, 706) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 145

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

GCD(2, 145) = 290 / 290

GCD(2, 145) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 875

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

GCD(1, 875) = 875 / 875

GCD(1, 875) = 1

GCD of 908, 706, 145, 875 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 908, 706, 145, 875

1. What is the GCD of 908, 706, 145, 875?

GCD of 908, 706, 145, 875 is 1


2. Where do I get the detailed procedure to find GCD of 908, 706, 145, 875?

You can find a detailed procedure to find GCD of 908, 706, 145, 875 on our page.


3. How to find GCD of 908, 706, 145, 875 on a calculator?

You can find the GCD of 908, 706, 145, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.